Addition of fractions is one of the important mathematical operations of fractions.

To add together two fractions, first we need to find equivalent fractions that share a common denominator, then the sum is given by adding the numerators. There are two kinds of addition of fractions**:**

**Add Fractions with Like Denominators****Add Fractions with Unlike Denominator**

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Adding 3 Fractions Calculator | Adding Complex Fractions Calculator |

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The following rules are helping the student for adding the fractions.

$\frac{(1+1)}{4}$ = $\frac{2}{4}$

= $\frac{(9 + 10)}{24}$

Here the two fractions have same denominator, we can easily add the variables in numerator without changing the values of denominator.

= $\frac{2x}{3}$ + $\frac{3x}{3}$

= $\frac{2x + 3x}{3}$

= $\frac{5x}{3}$

So the final answer isÂ $\frac{5x}{3}$

= $\frac{2x}{3}$ + $\frac{3x}{3}$

= $\frac{2x + 3x}{3}$

= $\frac{5x}{3}$

So the final answer isÂ $\frac{5x}{3}$

Here the two fractions have same denominator, we can easily add the variables in numerator without changing the values of denominator.

= $\frac{2x}{8}$ + $\frac{9x}{8}$

= $\frac{2x}{8}$ + $\frac{9x}{8}$

= $\frac{2x + 9x}{8}$

= $\frac{11x}{8}$

So the final answer is $\frac{11x}{8}$

= $\frac{11x}{8}$

So the final answer is $\frac{11x}{8}$

The steps to be followed to add the fraction value $\frac{1}{3}$ with the whole number 5 are as follows:

= $\frac{1}{3}$ + 5

= $\frac{1}{3}$ + 5 $\frac{3}{3}$ (multiply and divide the number 3 with the given whole number 5 to convert it into fraction value).

= $\frac{1}{3}$ + $\frac{15}{3}$

= $\frac{1 + 15}{3}$ (take the number 3 as the common divisor for both)

= $\frac{16}{3}$ (it is also a fraction value)

The steps to be followed to add the fraction value $\frac{5}{4}$ with the whole number 3 are as follows:

= $\frac{5}{4}$ + 3

= $\frac{5}{4}$ + 3$\frac{4}{4}$ (multiply and divide the number 4 with the given whole number 3 to convert it into fraction value).

= $\frac{5}{4}$ + $\frac{12}{4}$

= $\frac{5 + 12}{4}$ (take the number 4 as the common divisor for both)

= $\frac{17}{4}$ (it is also a fraction value)

To find the total work we have to add the two fractions,

Total work = $\frac{1}{4}$ + $\frac{3}{2}$

Here the denominators are different. So we have tot take LCM. LCM of 2, 4 = 4

$\frac{1}{4}$ + $\frac{3}{2}$ = $\frac{1}{4}$ + $\frac{3\times2}{2\times2}$

= $\frac{1}{4}$ + $\frac{6}{4}$

= $\frac{1+6}{4}$

= $\frac{7}{4}$

Hence John has finished $\frac{7}{4}$ of the work.

Pounds of apple = $\frac{5}{2}$

Pounds of cherries = $\frac{3}{2}$

To find the total pounds of fruits, we need to add the two fractions.

Total amount of fruits = $\frac{5}{2}$ + $\frac{3}{2}$

= $\frac{5+3}{2}$

= $\frac{8}{2}$ = 4

Hence Daisy bought 4 pounds of fruit in all.

More topics in Adding Fractions | |

Adding Fractions with Like Denominators | Adding Fractions with Unlike Denominators |

How Do I Add Fractions | |

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